1a) What is the Fvalue for the treatment efect? | Report answer accurate to 2 decimal place.) 1b) What is the pvalue for the Fvalue for the treatment elffeca? Report answer accurate to 4 decimal places.) 1c) Does this suppart the researcher's hypothesis that the treatment has an elfleca on ability to solve the mathematics exercise? Oyes Ono 2a) What is the Fvalue for the school-year elfect? Repart answer accurate to 2 decimal place.) 2b) What is the p-value for the Fvalue for the schoolyear effeca? Repart answer accurate to 4 decimal places.)

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An education researcher is interested in students performance on a mathermatics test for a novel-and generally unfamiliar-concept. The researcher believes that if students participate in an extracurricular training session, then they will
be more likely to perform betler on the mathematics test.
This researcher is testing two hypotheses. The first is that the training session pravides specific instruction and has an elfect on students' mathematics test scores. The second is that this treatment elfect is moderated by year in schoal.
Past research has suggested that there should not be a main effect for school year. Hawever, to contral for this possibility, a 2-way (2x2) factorial ANOVA is being conducled to account for any influence from schaol year, the treatment, and the
interaction of the two main ellects.
To lest the hypotheses, the research has obtained 28 participants: 14 year-7 students and 14 year-10 students. From each group of 14, 7 students were randomly chosen for the treatment group. Alter the treatment, all students were given
the same test. This lest has been used in previous research, has a range of O to 100, and measures students' ability to correctly perform the novel mathematics exercise. (The higher the lest score, the more positive the resull)
Use a 2x2 ANOVA with a = 0.02 to test the the data and evaluate the hypotheses. Results are pravided below for each group of students.
Factor B: Treatment
Control:
Treatment:
No Training Attend Training
45.3
46.6
44.0
53.3
51.3
45.6
Year 7
49.4
54.5
51.6
44.5
27.1
40.6
41.6
48.2
Factor A:
School Year
36.8
70.9
35.5
46.4
42.6
55.0
Year 10
46.7
55.2
50.5
57.6
32.1
58.4
39.8
60.4
( 1a) What is the Fvalue for the treatment effect?
(Report answer accurate to 2 decimal place.)
( 1b) What is the p-value for the Fvalue for the treatment effect?
(Report answer accurate to 4 decimal places.)
( 1c) Does this support the researcher's hypothesis that the treatment has an effect on ability to solve the mathematics exercise?
Oyes
Ono
( 2a) What is the Fvalue for the school-year effect?
(Repart answer accurate to 2 decimal place.)
( 2b) What is the p-value for the Fvalue for the school-year effeca?
(Repart answer accurate to 4 decimal places.)
( 2c) Does this support the researcher's assumption that school-year does NOT have an effect on ability to solve the mathematics exercise?
Oyes
Ono
Transcribed Image Text:An education researcher is interested in students performance on a mathermatics test for a novel-and generally unfamiliar-concept. The researcher believes that if students participate in an extracurricular training session, then they will be more likely to perform betler on the mathematics test. This researcher is testing two hypotheses. The first is that the training session pravides specific instruction and has an elfect on students' mathematics test scores. The second is that this treatment elfect is moderated by year in schoal. Past research has suggested that there should not be a main effect for school year. Hawever, to contral for this possibility, a 2-way (2x2) factorial ANOVA is being conducled to account for any influence from schaol year, the treatment, and the interaction of the two main ellects. To lest the hypotheses, the research has obtained 28 participants: 14 year-7 students and 14 year-10 students. From each group of 14, 7 students were randomly chosen for the treatment group. Alter the treatment, all students were given the same test. This lest has been used in previous research, has a range of O to 100, and measures students' ability to correctly perform the novel mathematics exercise. (The higher the lest score, the more positive the resull) Use a 2x2 ANOVA with a = 0.02 to test the the data and evaluate the hypotheses. Results are pravided below for each group of students. Factor B: Treatment Control: Treatment: No Training Attend Training 45.3 46.6 44.0 53.3 51.3 45.6 Year 7 49.4 54.5 51.6 44.5 27.1 40.6 41.6 48.2 Factor A: School Year 36.8 70.9 35.5 46.4 42.6 55.0 Year 10 46.7 55.2 50.5 57.6 32.1 58.4 39.8 60.4 ( 1a) What is the Fvalue for the treatment effect? (Report answer accurate to 2 decimal place.) ( 1b) What is the p-value for the Fvalue for the treatment effect? (Report answer accurate to 4 decimal places.) ( 1c) Does this support the researcher's hypothesis that the treatment has an effect on ability to solve the mathematics exercise? Oyes Ono ( 2a) What is the Fvalue for the school-year effect? (Repart answer accurate to 2 decimal place.) ( 2b) What is the p-value for the Fvalue for the school-year effeca? (Repart answer accurate to 4 decimal places.) ( 2c) Does this support the researcher's assumption that school-year does NOT have an effect on ability to solve the mathematics exercise? Oyes Ono
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